Question

Which is equivalent to (x + 12)(x - 12)? x + 24x - 144 x² -144 x + 144 x- 24x - 144

Answer 1

Option 2 is the correct option

Step-by-step explanation:

Step 1 :

Given expression :  (x + 12)(x - 12)

We need to find the expression from the given options which matches the given expression

Step 2 :

The given expression is of the form (a+b)(a-b)

where a = x and b = 12 here

The product of this is given by  formula

(a+b)(a-b) = (a² - b²)

Substituting the value of a and b in  formula we get

(x + 12)(x - 12) = x² - 12² = x² - 144

Hence option 2 is the correct option from the given list.

Step 3 :

Answer :

Option 2 is the option which matches the given expression